A Beam Element for Geometric Nonlinear Dynamical Analysis

2014 ◽  
Vol 919-921 ◽  
pp. 1273-1281
Author(s):  
Jin Duan ◽  
Yun Gui Li
Keyword(s):  
Three Dimensional ◽  
Beam Element ◽  
Dynamical Analysis ◽  
Elastic Deformations ◽  
Nonlinear Dynamical ◽  
Geometric Nonlinear ◽  
Nonlinear Dynamical Analysis ◽  
Updated Lagrangian ◽  
Incremental Equations ◽  
The Continuum

In this paper, a three-dimensional beam element is developed for geometric nonlinear dynamical analysis. This element is based on the co-rotational formulation, in which the displacements of beam element are subdivided into rigid body movements and elastic deformations. The formulations are derived from the continuum mechanics based Updated Lagrangian incremental equations. The element can undergo large deflections and rotations, but small strains are assumed in the deduction. The validity of this element is confirmed by comparing with the numerical results in other literatures.

scholarly journals Linear and nonlinear dynamical analysis of a Crane model

2020 ◽  
Vol 15 (2) ◽  
pp. 82-93
Author(s):  
Hmoumen Maourane ◽  
Tamás Szabó
Keyword(s):  
Finite Elements ◽  
Degrees Of Freedom ◽  
Linear Models ◽  
Dynamical Analysis ◽  
Lagrangian Description ◽  
Nonlinear Dynamical ◽  
The Best Approximation ◽  
Nonlinear Dynamical Analysis ◽  
Linear And Nonlinear ◽  
Updated Lagrangian

Abstract:This paper deals with the dynamical analysis of a crane model. Truss finite elements are used to discretize the suspending chains with the so called updated Lagrangian description. This nonlinear model is regarded to be the best approximation to which linear models are compared. The inertia and independent degrees of freedom are also taken into consideration by linear models. The goal is to find a linear model, which can be used as an observer in antisway control of a crane.

scholarly journals Nonlinear dynamical analysis of carbachol induced hippocampal oscillations in mice

2009 ◽  
Vol 30 (6) ◽  
pp. 859-867 ◽  
Author(s):  
Metin Akay ◽  
Kui Wang ◽  
Yasemin M Akay ◽  
Andrei Dragomir ◽  
Jie Wu
Keyword(s):  
Dynamical Analysis ◽  
Nonlinear Dynamical ◽  
Nonlinear Dynamical Analysis

108. Nonlinear dynamical analysis by Kaplan–Yorke Dimension of the effect by six stimuli on electroencephalograph

2009 ◽  
Vol 120 (5) ◽  
pp. e171
Author(s):  
Hirotoki Kawasaki ◽  
Takanobu Morinushi ◽  
Morinkuni Tkigawa ◽  
Shigeru Kanou ◽  
Masaru Yakushiji
Keyword(s):  
Dynamical Analysis ◽  
Nonlinear Dynamical ◽  
Nonlinear Dynamical Analysis
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